Systems of Equations Elimination Add

-6x - 5y = 20

-6x - y = 4

Solve. Put your answer in as a coordinate point (x,y)

Solve the system using elimination:

2x + 3y = 7

5x - 3y = 7

• (1, 2)

• (-1, -2)

• (2, 1)

• (-1, 2)

Solve by elimination:

-2x + 2y = 8

2x - 3y = -11

• (3, -1)

• (3, 1)

• (1, 3)

• (-1, 3)

Solve by elimination:

5x + 3y = -1

2x - 3y = 8

• (1, -2)

• (1, 5)

• (-2, 1)

• 1

Solve by elimination:

3x - 2y = 16

-3x + 4y = -20

• 4

• (-2, 4)

• (4, -2)

• (-2, 3)

To eliminate a variable in the system, should you add the equations or subtract the equations?

• Add

• Subtract

• Neither

Answer explanation

We want to add the equations together in order to eliminate one of the variables. We have opposite terms (3x and -3x) that will "cancel/zero out" (be eliminated) when we add the equations together.

Which variable would be easiest to eliminate?

• x

• y

• Neither

Answer explanation

The terms with x in them have opposite coefficients (4x and -4x), so they will be the easiest to eliminate when we add the equations together.

Solve the following using elimination.

• (10,-1)

• (-1,10)

• (-1,-10)

• (-10,-1)

Answer explanation

Solve using Elimination:

5x + y = 9

10x − 7y = −18

• (4, -11)

• (1, 4)

• (-1, 14)

• (-4, 29)

Answer explanation

________________ is a set of two or more equations that have the same variables.

• solution of a system

• elimination method

• system of equations

• table